Related Questions

    3.

    If C is the capacitance and V is the potential, the dimensional formula for CV2C{V^2} is

    A

    [ML2T1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}} \right]

    B

    [ML2T3]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 3}}} \right]

    C

    [ML2  T2]\left[ {{\rm{M}}{{\rm{L}}^2}{\rm{\;}}{{\rm{T}}^{ - 2}}} \right]

    D

    [ML2T2]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 2}}} \right]

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    4.

    The dimensions of resistivity in terms of M,L,T and Q where Q stands for the dimensions of charge, is

    A

    ML3T1Q2M{L^3}{T^{ - 1}}{Q^{ - 2}}

    B

    ML3T2Q1M{L^3}{T^{ - 2}}{Q^{ - 1}}

    C

    ML2T1Q1M{L^2}{T^{ - 1}}{Q^{ - 1}}

    D

    MLT1Q1ML{T^{ - 1}}{Q^{ - 1}}

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    5.

    The dimensional formula of modulus of rigidity is

    A

    [ML2T2]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 2}}} \right]

    B

    [ML3T2]\left[ {{\rm{M}}{{\rm{L}}^{ - 3}}{{\rm{T}}_2}} \right]

    C

    [ML2T2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    D

    [ML1T2]\left[ {{\rm{M}}{{\rm{L}}^{ - 1}}{{\rm{T}}^{ - 2}}} \right]

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    6.

    A suitable unit for gravitational constant is

    A

    kgmsec1kg - m\,\,se{c^{ - 1}}

    B

    N  m1secN\;{m^{ - 1}}{\rm{sec}}

    C

    N  m2  kg2N\;{m^2}\;k{g^{ - 2}}

    D

    kg  m  sec1kg\;m{\rm{\;se}}{{\rm{c}}^{ - 1}}

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    8.

    The dimensional formula for Planck’s constant (h) is

    A

    ML2T3M{L^{ - 2}}{T^{ - 3}}

    B

    ML2T2M{L^2}{T^{ - 2}}

    C

    ML2T1M{L^2}{T^{ - 1}}

    D

    ML2T2M{L^{ - 2}}{T^{ - 2}}

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    9.

    In the formula, a=3bc2,aa = 3b{c^2},a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

    A

    [M3L2T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    B

    [M3T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    C

    [M3T3Q]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^3}{\rm{Q}}} \right]

    D

    [M3L2T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^2}{{\rm{T}}^4}{{\rm{Q}}^{ - 4}}} \right]

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    10.

    The dimensions of surface tension are

    A

    ML1T2M{L^{ - 1}}{T^{ - 2}}

    B

    MLT2ML{T^{ - 2}}

    C

    ML1T1M{L^{ - 1}}{T^{ - 1}}

    D

    MT2M{T^{ - 2}}

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